If f(x) satisfies the relation f(x+y)=f(...

If `f(x)` satisfies the relation `f(x+y)=f(x)+f(y)` for all `x , y in Ra n df(1)=5,t h e n` `f(x)i sa nod dfu n c t ion` `f(x)` is an even function `sum_(n=1)^mf(r)=5^(m+1)C_2` `sum_(n=1)^mf(r)=(5m(m+2))/3`

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